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Question

Which of the following is/are true for the equation, a0xn+a1xn1+a2xn2+...+an=0, if S1,S2,S3Sn are the sum of the roots taken 1,2,3,,n at a time respectively?

A
S1=a1a0
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B
S2=a2a0
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C
Sn=(1)nana0
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D
S3=a3a0
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Solution

The correct option is C Sn=(1)nana0
For the equation, a0xn+a1xn1+a2xn2+...+an=0.
If S1,S2,S3,Sn etc. are the sum of the roots taken 1,2,3,n at a time respectively then:
S1=a1a0;S2=a2a0;S3=a3a0Sn=(1)nana0

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